On a parabolic Monge-Ampère type equation on compact almost Hermitian manifolds

被引：0

作者：

Kawamura, Masaya ^{[1
]}

机构：

[1] Sugiyama Jogakuen Univ & Grad Sch, Sch Educ, 17-3 Hoshigaoka Motomachi,Chikusa Ku, Nagoya, Aichi 4648662, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 11期

基金：

日本学术振兴会;

关键词：

almost Hermitian manifold; Chern connection; parabolic Monge-Amp & egrave; re type equation; METRICS;

D O I：

10.1002/mana.202300155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a parabolic Monge-Amp & egrave;re type equation on compact almost Hermitian manifolds and derive a priori gradient and second-order derivative estimates for solutions to this parabolic equation. These a priori estimates give us higher order estimates and a long-time solution. Then, we can observe its behavior as t ->infinity$t\rightarrow \infty$.

引用

页码：4232 / 4272

页数：41